Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X

Answer:1 0 (

Answer:

Step-by-step explanation:

x²-8x+16+y²+2y+1=16+1-13
(x-4)²+(y+1)²=2²

general form of a circle's equation is
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r= radius
By comparing with A,
(4,-1) is center and radius= 2.

The center of the circle is (-4,2) and the radius is 2

The equation is given as:

x^2 + y^2 - 8x + 2y + 13 = 0

Rewrite as:

x^2 - 8x + y^2  + 2y + 13 = 0

Subtract 12 from both sides

x^2 - 8x + y^2  + 2y = -13

Group each variable

[x^2 - 8x] + [y^2  + 2y] = -13

-------------------------------------------------------------------

Take the coefficient of x and y

-8 and 2

Divide by 2

-4 and 1

Square both numbers

16 and 1

-------------------------------------------------------------------

Next, we add 16 and 1 to both sides of the equation

[x^2 - 8x + 16] + [y^2  + 2y + 1] = -13 + 16 + 1

Express as perfect squares and evaluate the sum

(x - 4)^2 + (y + 1)^2 = 4

Express 4 as 2^2

(x - 4)^2 + (y + 1)^2 = 2^2

A circle is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where:

Center = (a,b)

Radius = r

This means that the center of the circle is (-4,2) and the radius is 2

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Answer:

The Answer is B

Step-by-step explanation:

The fraction 20/3 rounded to the nearest hundredth is 6.67.

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, A fraction 20/3, First we'll convert this fraction into a decimal.

So, 20/3 is equal to 6.666666....

Therefore,  20/3 to the nearest hundredth of a foot is equal to 6.67.

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Answer:

number 3 is 30, number 4 is 46 and the last one is 55

Answer:

3. 30°

4. 46°

5. 55°

Step-by-step explanation:

You add the two known angle measures and subtract that number from 180, since all the angle measures will add up to 180°. Hope this helped!

Answer:

Given a GP where:

Formula for nth term:

Recursive formula

Explicit formula:

Answer:

Discrete

Step-by-step explanation:

Discrete means it has ends, and continuous means it continues on forever.

Answer:

[tex]\frac{29}{6}[/tex]

Step-by-step explanation:

Multiply the denominator by the whole number.

6 × 4 = 24

Add the answer from step 1 to the numerator.

24 + 5 = 29

Write answer from step 2 over the denominator

[tex]\frac{29}{6}[/tex]

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

Answer:

12870 ways

Step-by-step explanation:

10c2*13c3

10!/(10-2)!2! *13!/(13-3)!3!

[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]

45*286

12870 ways

Answer:

Step-by-step explanation:

Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Answer:

12,983.04

Step-by-step explanation:

[tex]1)\ A_1 = R^2 * Pi = (\frac{56}{2})^2 * 3.14 = 28^2 * 3.14 = 784 * 3.14 = 2,461.76\\[/tex]

[tex]2)\ 2,461.76 * 4 = 9,847.04\ (There\ are\ four\ semi\ circles)[/tex]

[tex]3)\ A_2 = 56^2 = 3,136[/tex]

[tex]4)\ A = A_1 + A_2 = 3136 + 9,847.04 = 12,983.04[/tex]

Answer:

true

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

S = dt        S = distance    d = rate = 6.5 m/ hr    t = time = 30 min = 1/2 hr

S = (6.5 m/hr) *(1/2 hr) = 3.25 miles

The value of distance you will run will be;

⇒ Distance = 3.25 miles

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

You are going to run at a constant speed of 6.5 miles per hour for 30 minutes.

Here,

Speed = 6.5 miles per hour

Time = 30 minutes

        = 30/60 hour

        = 1/2 hour

We know that;

⇒ Speed = Distance / Time

Substitute all the values we get;

⇒ 6.5 = Distance / (1/2)

⇒ 6.5 × 1/2 = Distance

⇒ Distance = 3.25 miles

Thus, We get;

⇒ Distance = 3.25 miles

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please help!!! HURRY!!

The notation of the limit as a definite integral is given as follows:

[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]

The limit for this problem is defined as follows:

[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]

This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:

[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]

As the second term is only a factor of n, the Delta is given as follows:

[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]

As the a term does not appear in the function, the value of the coefficient a is given as follows:

a = 0.

The parent function dependent on k is given as follows:

[tex]f(x) = \sqrt{x}[/tex]

The parameter b is obtained as follows:

[tex]\Delta_x = \frac{b - a}{n}[/tex]

[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]

[tex]b = n^{-\frac{1}{2}}[/tex]

(the parameter n is not given).

Hence the definite integral is obtained as follows:

[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]

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Answer:

Reflection over y=x

Step-by-step explanation:

Answer:

it's 30

Step-by-step explanation:

30+4_2= dakukabilat

Answer:

2.70 decimeters

Step-by-step explanation:

1 cm = 0.1 decimeter

27 * 0.1 = 2.7

Answer:

8

-5

12

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The average rate of change of a function f(x) on interval [a, b] is the slope of the line through points (a, f(a)) and (b, f(b)). The slope formula tells you that is ...

  m = (f(b) -f(a))/(b -a)

1) The rate of change in the interval [1, 2] is ...

  rate of change = (2³ -1³)/(2 -1) = (8 -1)/1 = 7

__

2) rate of change = ((√4 -8) -(√1 -2))/(4 -1) = (-6-(-1))/3 = -5/3

__

3) rate of change = (11 -(-1))/(5 -2) = 4

Answer:

Not a function

Step-by-step explanation:

Answer:

graph should show an open circle on -2 with shading to the right

Step-by-step explanation:

-6n + 5 < 11

-6n < 6

n > -1

solutions consist of all number greater than -1

Answer: 9.85 inches

Step-by-step explanation:

Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.

The total rainfall in this desert was therefore:

= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1

= 9.85 inches

Answer:

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] (in general, the numerator has to be greater than half the denominator)

Step-by-step explanation:

There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!

Let's first just express a fraction in the form: [tex]\frac{a}{b}[/tex], and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.

This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: [tex]\frac{a}{b}[/tex], to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: [tex]\frac{a+1}{b}[/tex], if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".

Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)

[tex]\frac{4}{5}[/tex] is actually the only proper fraction, since 5/5 would just simplify to one.

Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2

Answer:

77

Step-by-step explanation:

solution

Perimeter of a rectangle (P) = 36 m

length (l) = (x+1) m

breadth (b) = (x+5) m

Area (A)= ?

We know that ;

P = 2(l+b)

or,36 = 2(x+1+x+5)

or,36 = 2 (2x+6)

or, 18 = 2x+6

or,18 - 6 = 2x

or, 12 = 2x

x = 6

length (l) = (x+1) = 6+1 = 7 m

breadth (b) = (x+5) = 6+5 = 11 m

Now;

Area (A) = l × b

= 7 × 11

= 77 square m

Answer:

77 m^2.

Step-by-step explanation:

Perimeter = 2 * (length + breadth)

36 = 2(x + 1 + x + 5)

36 = 2(2x + 6)

36 = 4x + 12

4x = 24

x = 6

So  breadth =  6 +1 = 7 and

length = 6 + 5 = 11 m.

Area = length * breadth = 7 * 11

= 77 m^2

Answer: solve the same variables

Step-by-step explanation:

1. 3y + 4.1

2. 4x +

3. 5x + 22½

4. 4y²

5. + 25

6. 0



Answer:

40 + 5 = 45

45 ÷ 9 = 5

Therefore, he will have 5 boxes of rocks.

Answer:

Step-by-step explanation:

the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.